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Finding the Fourth Proportional to 2,317.30, 3,250.70 and 2,317.30

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Solution

The fourth proportional to 2,317.30, 3,250.70 and 2,317.30 is: 3,250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.30 : 3,250.70 = 2,317.30 : x
  2. Step 2: Convert to fraction form
    2,317.30/3,250.70 = 2,317.30/x
  3. Step 3: Cross multiply
    2,317.30x = 3,250.70 × 2,317.30
  4. Step 4: Simplify right side
    2,317.30x = 7,532,847.11
  5. Step 5: Solve for x
    x = 7,532,847.11/2,317.30
  6. Step 6: Final answer
    x = 3,250.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.